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Simplifying 27 + -3(x + 4) = 4x + -1(2x + -16) Reorder the terms: 27 + -3(4 + x) = 4x + -1(2x + -16) 27 + (4 * -3 + x * -3) = 4x + -1(2x + -16) 27 + (-12 + -3x) = 4x + -1(2x + -16) Combine like terms: 27 + -12 = 15 15 + -3x = 4x + -1(2x + -16) Reorder the terms: 15 + -3x = 4x + -1(-16 + 2x) 15 + -3x = 4x + (-16 * -1 + 2x * -1) 15 + -3x = 4x + (16 + -2x) Reorder the terms: 15 + -3x = 16 + 4x + -2x Combine like terms: 4x + -2x = 2x 15 + -3x = 16 + 2x Solving 15 + -3x = 16 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + -3x + -2x = 16 + 2x + -2x Combine like terms: -3x + -2x = -5x 15 + -5x = 16 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + -5x = 16 + 0 15 + -5x = 16 Add '-15' to each side of the equation. 15 + -15 + -5x = 16 + -15 Combine like terms: 15 + -15 = 0 0 + -5x = 16 + -15 -5x = 16 + -15 Combine like terms: 16 + -15 = 1 -5x = 1 Divide each side by '-5'. x = -0.2 Simplifying x = -0.2
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